English

Games on base matrices

Logic 2022-03-08 v1

Abstract

Using a game characterization of distributivity, we show that base matrices for P(ω)/fin\mathcal{P}(\omega)/\text{fin} of regular height larger than h\mathfrak{h} necessarily have maximal branches which are not cofinal.

Keywords

Cite

@article{arxiv.2203.02581,
  title  = {Games on base matrices},
  author = {Vera Fischer and Marlene Koelbing and Wolfgang Wohofsky},
  journal= {arXiv preprint arXiv:2203.02581},
  year   = {2022}
}

Comments

4 pages

R2 v1 2026-06-24T10:02:48.716Z